They don’t want to mess up the car any more than it is. The front bumper of that wrecker would move it without much difficulty.
LOL... a call for a few determined fans to help get the car off the fence would prolly get a couple thousand Floridians on the track to carry that thing right to the pit.
It could, if it would stay upright on the banking. There’s also the splitter to worry about (golly, what a surprise; a COT issue nobody thought about).